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Finding the Fourth Proportional to 1,420.89, 1,958.72 and 999.87

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Solution

The fourth proportional to 1,420.89, 1,958.72 and 999.87 is: 1,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.89 : 1,958.72 = 999.87 : x
  2. Step 2: Convert to fraction form
    1,420.89/1,958.72 = 999.87/x
  3. Step 3: Cross multiply
    1,420.89x = 1,958.72 × 999.87
  4. Step 4: Simplify right side
    1,420.89x = 1,958,460.37
  5. Step 5: Solve for x
    x = 1,958,460.37/1,420.89
  6. Step 6: Final answer
    x = 1,378.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.